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99 questions/Solutions/82

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Brute-force search from the source, using list comprehension:

import Data.List (partition)
cycle' :: Int -> [(Int, Int)] -> [ [Int] ]
cycle' n g = search n []
  where search [] result = result
        search cur result = search (go active) (arrive ++ result)
          where split = partition end cur
                end s = (last s == n) && (length s /= 1)
                active = snd split
                arrive = fst split
                go ls = [ x ++ [snd y] | x <- ls, y <- g, last x == fst y, not (snd y `elem` tail x)]